Educational Studies in Mathematics

, Volume 25, Issue 4, pp 341–373 | Cite as

Encouraging the transfer of ‘school’ mathematics to the ‘real world’ through the integration of process and content, context and culture

  • Jo Boaler


This paper reports upon a research project which considered the transfer of students' mathematical understanding across different task contexts. The research involved two groups of students from contrasting learning environments. The first environment was characterised by the complete integration of mathematical process and content using open ended activities. The second environment represented a ‘typical’ English classroom with a content based scheme being predominantly used. The research demonstrated that the procedure and performance of students in response to addition and fraction tasks varied considerably when the context of the tasks changed. This variation suggested that students' perceptions of the contexts were individually constructed and contexts did not have a uniform effect upon the difficulty of tasks. The research also suggested that students who had learned in an environment characterised by the integration of process and content were more able to transfer their learning across contexts. Students who had learned mathematical process independently of content were more likely to vary their procedure and performance in response to the contexts of the tasks. This was considered in relation to the problems of ‘school’ — ‘real world’ transfer and the effectiveness of different learning environments.


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  1. Abraham, J. and Bibby, N.: 1988, ‘Mathematics and Society: Ethnomathematics and a Public Educator Curriculum’,For the Learning of Mathematics 8(2), 2–12.Google Scholar
  2. Adda, J.: 1989, ‘The Mathematics Classroom as a Micro Society’, in C. Keitel, P. Damerow, A. Bishop, and P. Gerdes (eds.),Mathematics Education and Society, United Nations Educational Scientific: Paris.Google Scholar
  3. ATM (Association of Teachers of Mathematics) Working Investigatively (no publication details).Google Scholar
  4. Bishop, A.: 1985, ‘The Social Construction of Meaning — A Significant Development for Mathematics Education’,For the Learning of Mathematics 5(1), 24–29.Google Scholar
  5. Broomes, D.: 1989, ‘The Mathematical Demands of a Rural Economy’, in C. Keitel, P. Damerow, A. Bishop, and P. Gerdes (eds.),Mathematics Education and Society, United Nations Educational Scientific: Paris.Google Scholar
  6. Burton, L.: 1980, ‘The Teaching of Mathematics to Young Children Using a Problem Solving Approach’,Educational Studies in Mathematics 11(1), 43–58.Google Scholar
  7. Centre for Innovation in Mathematics Teaching: 1989,Mathematics Focus School of Exeter, University of Exeter.Google Scholar
  8. Cobb, P.: 1986, ‘Contexts, Goals, Belief and Learning Mathematics’,For the Learning of Mathematics 6(2), 2–10.Google Scholar
  9. D'Ambrosio, U.: 1985, ‘Ethnomathematics and its place in the History and Pedagogy of Mathematics’,For the Learning of Mathematics 5(1), 44–48.Google Scholar
  10. Donaldson, M.: 1984,Children's Minds, Collins: Glasgow.Google Scholar
  11. Fasheh, M.: 1982, ‘Mathematics, Culture and Authority’,For the Learning of Mathematics 3(2), 2–9.Google Scholar
  12. Foxman, D., Ruddock, G., McCallum, I., and Schagen, I.: 1991, ‘APU Mathematics Monitoring (Phase 2)’, NFER: Berkshire.Google Scholar
  13. GAIM (Graded Assessment in Mathematics) Team: 1988,GAIM Development Pack, MacMillan: London.Google Scholar
  14. Greenfield, P. M.: 1984, ‘A Theory of the Teacher in the Learning Activities of Everyday Life’, in B. Rogoff and J. Lave (eds.),Everyday Cognition: It's Development in Social Context, Harvard University Press: Cambridge, pp. 117–138.Google Scholar
  15. Kerslake, D.: 1986,Fractions: Children's Strategies and Errors, NFER-NELSON: Berkshire.Google Scholar
  16. Lave, J.: 1988,Cognition in Practice, Cambridge University Press: Cambridge.Google Scholar
  17. Maier, E.: 1991, ‘Folk Mathematics’, in M. Harris (ed.),School, Mathematics and Work, The Falmer Press: Basingstoke.Google Scholar
  18. Mason, J.: 1989, ‘Mathematical Abstraction as the Result of a Delicate Shift of Attention’,For the Learning of Mathematics 9(2), 2–9.Google Scholar
  19. Murphy, P.: 1990, Assessment and Gender Paper presented at BERA Annual Conference: Roehampton.Google Scholar
  20. Piaget, J.: 1958,The Child's Construction of Reality, Routledge and Kegan Paul: London.Google Scholar
  21. Rao, C. R.: 1952,Advanced Statistical Methods in Biometric Research, Wiley: London, p. 200.Google Scholar
  22. Schoenfeld, A. H.: 1987, ‘Confessions of an Accidental Theorist’,For the Learning of Mathematics 7(1), 30–39.Google Scholar
  23. Taylor, N.: 1989, ‘Let Them Eat Cake, Desire, Cognition and Culture’, in C. Keitel, P. Damerow, A. Bishop, and P. Gerdes (eds.),Mathematics Education and Society, United Nations Educational Scientific: Paris.Google Scholar
  24. Treffers, A.: 1987, ‘Three Dimensions, a Model of Goal and Theory Description’, inMathematics Instruction — The Wiskobas Project, Kluwer Academic Publishers: Dordrecht.Google Scholar
  25. Walkerdine, V.: 1985,The Mastery of Reason, Routledge: Kent.Google Scholar
  26. Walkerdine, V.: 1990, ‘Difference, Cognition and Mathematics Education’,For the Learning of Mathematics 10(3), 51–56.Google Scholar

Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Jo Boaler
    • 1
  1. 1.Centre for Educational Studies King's CollegeUniversity of LondonLondonEngland

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